<p>We investigated the body waves (P &amp; S) attenuation (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({Q}_{P,S}^{-1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>Q</mi> <mrow> <mi>P</mi> <mo>,</mo> <mi>S</mi> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> </math></EquationSource> </InlineEquation>) at the well-known reservoir-triggered seismicity (RTS) site of the Koyna-Warna region. The study region has a history of intense seismic activity for more than six decades. Knowledge of body wave attenuation in such a tectonic environment is imperative for seismic hazard analysis and comprehension of the source processes, as well as for accurately assessing the material and physical properties of the media. In this study, we analyzed 113 earthquakes of M<sub>L</sub>1.9–3.7 archived through a local seismic network of five stations. The attenuation of P (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({Q}_{P}^{-1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>Q</mi> <mrow> <mi>P</mi> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> </math></EquationSource> </InlineEquation>) and S waves (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({Q}_{S}^{-1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>Q</mi> <mrow> <mi>S</mi> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> </math></EquationSource> </InlineEquation>) are derived employing an extended Coda-Normalization method centered at seven central frequencies (1.5, 3.0, 4.5, 6.0, 9.0, 12.0, and 18.0&#xa0;Hz).The findings of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\({Q}_{P}^{-1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>Q</mi> <mrow> <mi>P</mi> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\({Q}_{S}^{-1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>Q</mi> <mrow> <mi>S</mi> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> </math></EquationSource> </InlineEquation>, indicates an apparent frequency dependence, which can be described by a power law equations: <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\({Q}_{P}^{-1}\left(f\right)=\left(0.017\pm 0.002\right){f}^{\left(-0.787\pm 0.057\right)}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msubsup> <mi>Q</mi> <mrow> <mi>P</mi> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mfenced close=")" open="("> <mi>f</mi> </mfenced> <mo>=</mo> <mfenced close=")" open="("> <mn>0.017</mn> <mo>±</mo> <mn>0.002</mn> </mfenced> <msup> <mrow> <mi>f</mi> </mrow> <mfenced close=")" open="("> <mo>-</mo> <mn>0.787</mn> <mo>±</mo> <mn>0.057</mn> </mfenced> </msup> </mrow> </math></EquationSource> </InlineEquation>, and <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\({Q}_{S}^{-1}\left(f\right)=\left(0.016\pm 0.0004\right){f}^{\left(-0.682\pm 0.059\right)}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msubsup> <mi>Q</mi> <mrow> <mi>S</mi> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mfenced close=")" open="("> <mi>f</mi> </mfenced> <mo>=</mo> <mfenced close=")" open="("> <mn>0.016</mn> <mo>±</mo> <mn>0.0004</mn> </mfenced> <msup> <mrow> <mi>f</mi> </mrow> <mfenced close=")" open="("> <mo>-</mo> <mn>0.682</mn> <mo>±</mo> <mn>0.059</mn> </mfenced> </msup> </mrow> </math></EquationSource> </InlineEquation> respectively. The results indicate that P-wave attenuation is more pronounced than S-wave at the entire range of frequencies, and both waves types have undergone significant dissipation along the ray path in the region. The obtained <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\({Q}_{P}^{-1}/{Q}_{S}^{-1}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msubsup> <mi>Q</mi> <mrow> <mi>P</mi> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo stretchy="false">/</mo> <msubsup> <mi>Q</mi> <mrow> <mi>S</mi> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> </mrow> </math></EquationSource> </InlineEquation> values exceed unity across the span of frequency bandwidth, which may be potentially attributed to the influence of partially saturated basement rocks in the region. The increased values (<InlineEquation ID="IEq9"> <EquationSource Format="TEX">\({Q}^{-1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi>Q</mi> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </math></EquationSource> </InlineEquation>) in the region could be due to the progressive generation of heterogeneity in the subsurface media as a result of the repetitive occurrence of earthquakes. Our observations of <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\({Q}_{P}^{-1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>Q</mi> <mrow> <mi>P</mi> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\({Q}_{S}^{-1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>Q</mi> <mrow> <mi>S</mi> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> </math></EquationSource> </InlineEquation> are comparable with those of other seismically active regions.</p>

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Frequency-dependent attenuation of P- and S-waves in the RTS environment of the Koyna-Warna region, Western India

  • C. R. Mahato,
  • Himanshu Chaube

摘要

We investigated the body waves (P & S) attenuation ( \({Q}_{P,S}^{-1}\) Q P , S - 1 ) at the well-known reservoir-triggered seismicity (RTS) site of the Koyna-Warna region. The study region has a history of intense seismic activity for more than six decades. Knowledge of body wave attenuation in such a tectonic environment is imperative for seismic hazard analysis and comprehension of the source processes, as well as for accurately assessing the material and physical properties of the media. In this study, we analyzed 113 earthquakes of ML1.9–3.7 archived through a local seismic network of five stations. The attenuation of P ( \({Q}_{P}^{-1}\) Q P - 1 ) and S waves ( \({Q}_{S}^{-1}\) Q S - 1 ) are derived employing an extended Coda-Normalization method centered at seven central frequencies (1.5, 3.0, 4.5, 6.0, 9.0, 12.0, and 18.0 Hz).The findings of \({Q}_{P}^{-1}\) Q P - 1 and \({Q}_{S}^{-1}\) Q S - 1 , indicates an apparent frequency dependence, which can be described by a power law equations: \({Q}_{P}^{-1}\left(f\right)=\left(0.017\pm 0.002\right){f}^{\left(-0.787\pm 0.057\right)}\) Q P - 1 f = 0.017 ± 0.002 f - 0.787 ± 0.057 , and \({Q}_{S}^{-1}\left(f\right)=\left(0.016\pm 0.0004\right){f}^{\left(-0.682\pm 0.059\right)}\) Q S - 1 f = 0.016 ± 0.0004 f - 0.682 ± 0.059 respectively. The results indicate that P-wave attenuation is more pronounced than S-wave at the entire range of frequencies, and both waves types have undergone significant dissipation along the ray path in the region. The obtained \({Q}_{P}^{-1}/{Q}_{S}^{-1}\) Q P - 1 / Q S - 1 values exceed unity across the span of frequency bandwidth, which may be potentially attributed to the influence of partially saturated basement rocks in the region. The increased values ( \({Q}^{-1}\) Q - 1 ) in the region could be due to the progressive generation of heterogeneity in the subsurface media as a result of the repetitive occurrence of earthquakes. Our observations of \({Q}_{P}^{-1}\) Q P - 1 and \({Q}_{S}^{-1}\) Q S - 1 are comparable with those of other seismically active regions.